A two-scale model of granular materials using a coupled DE-FE approach:
Gespeichert in:
1. Verfasser: | |
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Format: | Abschlussarbeit Buch |
Sprache: | English |
Veröffentlicht: |
Hannover
Univ., Inst. für Kontinuumsmechanik
2011
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Schriftenreihe: | Leibniz-Universität Hannover, Institut für Kontinuumsmechanik
B 11,1 |
Schlagworte: | |
Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
Beschreibung: | VIII, 147 S. zahlr. Ill., graph. Darst. |
ISBN: | 9783941302020 |
Internformat
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Datensatz im Suchindex
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adam_text |
IMAGE 1
CONTENTS
INTRODUCTION 1
1.1 OBJECTIVES AND STATE OF THE ART 1
1.2 ORGANIZATION OF THIS WORK 4
FUNDAMENTALS 5
2.1 CONTINUUM SOLID MECHANICS 5
2.1.1 KINEMATICS 5
2.1.2 STRESS 8
2.1.3 BALANCE PRINCIPLES 8
2.1.4 RIGID BODY DYNAMICS 10
2.1.5 CONSTITUTIVE EQUATIONS 11
2.2 FINITE ELEMENT METHOD 14
2.2.1 WEAK FORM OF EQUILIBRIUM 15
2.2.2 FINITE ELEMENT DISCRETIZATION 16
2.2.3 TRANSIENT SOLUTION 17
DISCRETE ELEMENT METHOD 19
3.1 PARTICLE SHAPE 21
3.2 CONTACT FORMULATION 25
3.2.1 HERTZIAN NORMAL CONTACT 26
3.2.2 TANGENTIAL CONTACT 28
3.2.3 DISSIPATIVE PART 29
3.3 TIME INTEGRATION 30
3.4 IMPLEMENTATION 33
3.4.1 GLOBAL CONTACT DETECTION 34
3.4.2 LOCAL CONTACT DETECTION 37
3.4.3 PARALLELIZATION 44
3.4.4 SAMPLE GENERATION 48
3.5 SILO DISCHARGE EXAMPLE 54
GRANULAR-STRUCTURE INTERACTION 59
4.1 CONTACT MODEL 59
4.1.1 NON-SMOOTH CONTACT 61
4.2 IMPLEMENTATION 67
4.3 NUMERICAL EXAMPLES 69
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1012161331
DIGITALISIERT DURCH
IMAGE 2
VIII
4.3.1 LATERAL BEAM-SPHERE IMPACT 69
4.3.2 BRACHISTOCHRONE CURVE 70
4.3.3 RUBBER BLOCK ON SAND 70
4.3.4 TRIAXIAL TEST ON GLASS BEADS 72
5 HOMOGENIZATION 77
5.1 PERIODIC TRIAXIAL TEST METHODOLOGY 78
5.1.1 PERIODIC RECTANGULAR HEXAHEDRAL RVE 78
5.1.2 AVERAGE STRESSES AND STRAINS 80
5.1.3 APPLICATION OF BOUNDARY CONDITIONS 81
5.2 ADAPTATION OF DEM PARAMETERS 82
5.3 RESULTS 84
5.3.1 RANDOM SAMPLE GENERATION 84
5.3.2 INITIAL RELATIVE DENSITY 85
5.3.3 PRESSURE LEVEL 87
5.3.4 RVE SIZE 87
5.3.5 VALIDATION 88
5.4 FITTING OF ELASTO-PLASTIC CONTINUUM MODEL 88
6 TWO-SCALE MODEL 91
6.1 COUPLING DOMAIN 92
6.2 KINEMATIC CONSTRAINTS 95
6.3 IMPLEMENTATION 98
6.4 NUMERICAL EXAMPLES 99
6.4.1 TRIAXIAL TESTS 100
6.4.2 MICROSTRUCTURE 102
6.4.3 PILE INSTALLATION 104
7 CONCLUSION AND OUTLOOK 109
A SUPERQUADRICS 113
A.I SURFACE PARAMETERIZATION 113
A.1.1 BOUNDING RADII 115
A.1.2 PRINCIPAL CURVATURES 116
A.I.3 CURVILINEAR COORDINATES FROM NORMALS 117
A.2 SURFACE POINTS FROM NORMALS 120
A.3 LINE SEGMENT INTERSECTION 124
A.4 TRIANGLE INTERSECTION AREA 125
B WEIGHTED VIRTUAL WORK OF A RIGID BODY 131
BIBLIOGRAPHY 132 |
any_adam_object | 1 |
author | Wellmann, Christian 1982- |
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author_facet | Wellmann, Christian 1982- |
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building | Verbundindex |
bvnumber | BV039609142 |
classification_rvk | UF 2000 |
ctrlnum | (OCoLC)767881580 (DE-599)DNB1012161331 |
dewey-full | 620.105 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 620 - Engineering and allied operations |
dewey-raw | 620.105 |
dewey-search | 620.105 |
dewey-sort | 3620.105 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Maschinenbau / Maschinenwesen Physik |
format | Thesis Book |
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genre_facet | Hochschulschrift |
id | DE-604.BV039609142 |
illustrated | Illustrated |
indexdate | 2024-07-21T00:11:26Z |
institution | BVB |
isbn | 9783941302020 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024459835 |
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physical | VIII, 147 S. zahlr. Ill., graph. Darst. |
publishDate | 2011 |
publishDateSearch | 2011 |
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publisher | Univ., Inst. für Kontinuumsmechanik |
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series | Leibniz-Universität Hannover, Institut für Kontinuumsmechanik |
series2 | Leibniz-Universität Hannover, Institut für Kontinuumsmechanik |
spelling | Wellmann, Christian 1982- Verfasser (DE-588)1014028566 aut A two-scale model of granular materials using a coupled DE-FE approach von Christian Wellmann Hannover Univ., Inst. für Kontinuumsmechanik 2011 VIII, 147 S. zahlr. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Leibniz-Universität Hannover, Institut für Kontinuumsmechanik B 11,1 Zugl.: Hannover, Univ., Diss., 2011 Granulärer Stoff (DE-588)4256351-3 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Diskrete-Elemente-Methode (DE-588)4577038-4 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Granulärer Stoff (DE-588)4256351-3 s Mathematisches Modell (DE-588)4114528-8 s Diskrete-Elemente-Methode (DE-588)4577038-4 s Finite-Elemente-Methode (DE-588)4017233-8 s DE-604 Leibniz-Universität Hannover, Institut für Kontinuumsmechanik B 11,1 (DE-604)BV036467379 B 11,1 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3805864&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024459835&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Wellmann, Christian 1982- A two-scale model of granular materials using a coupled DE-FE approach Leibniz-Universität Hannover, Institut für Kontinuumsmechanik Granulärer Stoff (DE-588)4256351-3 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Diskrete-Elemente-Methode (DE-588)4577038-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
subject_GND | (DE-588)4256351-3 (DE-588)4017233-8 (DE-588)4577038-4 (DE-588)4114528-8 (DE-588)4113937-9 |
title | A two-scale model of granular materials using a coupled DE-FE approach |
title_auth | A two-scale model of granular materials using a coupled DE-FE approach |
title_exact_search | A two-scale model of granular materials using a coupled DE-FE approach |
title_full | A two-scale model of granular materials using a coupled DE-FE approach von Christian Wellmann |
title_fullStr | A two-scale model of granular materials using a coupled DE-FE approach von Christian Wellmann |
title_full_unstemmed | A two-scale model of granular materials using a coupled DE-FE approach von Christian Wellmann |
title_short | A two-scale model of granular materials using a coupled DE-FE approach |
title_sort | a two scale model of granular materials using a coupled de fe approach |
topic | Granulärer Stoff (DE-588)4256351-3 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Diskrete-Elemente-Methode (DE-588)4577038-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
topic_facet | Granulärer Stoff Finite-Elemente-Methode Diskrete-Elemente-Methode Mathematisches Modell Hochschulschrift |
url | http://deposit.dnb.de/cgi-bin/dokserv?id=3805864&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024459835&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV036467379 |
work_keys_str_mv | AT wellmannchristian atwoscalemodelofgranularmaterialsusingacoupleddefeapproach |